6114900 has 144 divisors (see below), whose sum is σ = 20623680. Its totient is φ = 1382400.

The previous prime is 6114887. The next prime is 6114907. The reversal of 6114900 is 94116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6114907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56046 + ... + 56154.

It is an arithmetic number, because the mean of its divisors is an integer number (143220).

Almost surely, 2^6114900 is an apocalyptic number.

6114900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6114900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10311840).

6114900 is an abundant number, since it is smaller than the sum of its proper divisors (14508780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6114900 is a wasteful number, since it uses less digits than its factorization.

6114900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 6114900 is about 2472.8323841296. The cubic root of 6114900 is about 182.8646614980.

Adding to 6114900 its product of nonzero digits (216), we get a palindrome (6115116).

The spelling of 6114900 in words is "six million, one hundred fourteen thousand, nine hundred".